论文信息 - Information entropy

Information entropy

In this paper we present an indicator of chaos that takes advantage of the Information Entropy concept. We develop the mathematical formulation and test the results of its application with those obtained by other methods for the 2D Hénon-Heiles system and the 3D Contopoulos, Galgani and Giorgilli potential.

J. A. Núñez | P. Cincotta | F. C. Wachlin

[1] A. Gray,et al. Matter and Motion , 1921, Nature.

[2] M. Hénon,et al. The applicability of the third integral of motion: Some numerical experiments , 1964 .

[3] George Contopoulos,et al. On the number of isolating integrals in Hamiltonian systems , 1978 .

[4] Cohen,et al. Computing the Kolmogorov entropy from time signals of dissipative and conservative dynamical systems. , 1985, Physical review. A, General physics.

[5] Fraser,et al. Independent coordinates for strange attractors from mutual information. , 1986, Physical review. A, General physics.

[6] Jacques Laskar,et al. The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones , 1990 .

[7] Jacques Laskar,et al. The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping , 1992 .

[8] Dumas,et al. Global dynamics and long-time stability in Hamiltonian systems via numerical frequency analysis. , 1993, Physical review letters.

[9] P. Cincotta,et al. Chaos in ordinary stellar systems , 1995 .

[10] J. A. Núñez,et al. Stochastic Motion in a Central Field with a Weak Non—Rotating Bar Perturbation , 1995 .